Spin coupling in zigzag Wigner crystals

Abstract

We consider interacting electrons in a quantum wire in the case of a shallow confining potential and low electron density. In a certain range of densities, the electrons form a two-row (zigzag) Wigner crystal whose spin properties are determined by nearest and next-nearest neighbor exchange as well as by three- and four-particle ring exchange processes. The phase diagram of the resulting zigzag spin chain has regions of complete spin polarization and partial spin polarization in addition to a number of unpolarized phases, including antiferromagnetism and dimer order as well as a novel phase generated by the four-particle ring exchange.

12 pages, 9 figures

References in corpus (33)

• Possible Spin Polarization in a One-Dimensional Electron Gas
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Wigner Crystal in One Dimension
• The Low-Temperature Fate of the 0.7 Structure in a Point Contact: A Kondo-like Correlated State in an Open System
• Numerical Evidence for Multiplicative Logarithmic Corrections from Marginal Operators
• Interaction Effects in a One-Dimensional Constriction
• Kondo model for the "0.7 anomaly" in transport through a quantum point contact
• Bias and temperature dependence of the 0.7 conductance anomaly in Quantum Point Contacts
• Conductance of a quantum wire in the Wigner crystal regime
• Generic properties of a quasi-one dimensional classical Wigner crystal
• Density dependent spin polarisation in ultra low-disorder quantum wires
• Magnetic impurity formation in quantum point contacts
• Many-body spin related phenomena in ultra-low-disorder quantum wires
• Spontaneous spin polarization in quantum point contacts
• Conductance of a quantum wire at low electron density
• Spin Properties of Low Density One-Dimensional Wires
• Strongly reduced gap in the zigzag spin chain with a ferromagnetic interchain coupling
• Exchange Frequencies in the 2d Wigner crystal
• The anomalous 0.5 and 0.7 conductance plateaus in quantum point contacts
• Ferromagnetic correlations in quasi-one-dimensional conducting channels
• The fate of spinons in spontaneously dimerised spin-1/2 ladders
• Ballistic transport in induced one-dimensional hole systems
• Conductance anomalies in a one-dimensional quantum contact
• Electron-phonon scattering in quantum point contacts
• Spontaneous Spin Polarization in Quantum Wires
• Coulomb Blockade Resonances in Quantum Wires
• Possible mechanism of the fractional conductance quantization in a one-dimensional constriction
• Conductance quantization and the 0.7x2e2/h conductance anomaly in one-dimensional hole systems
• Integrable Magnetic Model of Two Chains Coupled by Four-Body Interactions
• Multiparticle ring exchange in the Wigner glass and its possible relevance to strongly interacting two-dimensional electron systems in the presence of disorder
• Exchange interaction in quantum rings and wires in the Wigner-crystal limit
• Restricted and unrestricted Hartree-Fock calculations of conductance for a quantum point contact
• Spin exchange in quantum rings and wires in the Wigner-crystal limit

Cited by in corpus (27)

• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Spin Bose-Metal phase in a spin-1/2 model with ring exchange on a two-leg triangular strip
• Wigner crystal physics in quantum wires
• What lurks below the last plateau: Experimental studies of the 0.7 x 2e^2/h conductance anomaly in one-dimensional systems
• Incipient Formation of an Electron Lattice in a Weakly-Confined Quantum Wire
• Spin Bose-Metal and Valence Bond Solid phases in a spin-1/2 model with ring exchanges on a four-leg triangular ladder
• Many-body effects in a quasi-one-dimensional electron gas
• Strong-Coupling Phases of Frustrated Bosons on a 2-leg Ladder with Ring Exchange
• Row coupling in an interacting quasi-one-dimensional quantum wire investigated using transport measurements
• Zero-Magnetic Field Fractional Quantum States
• Imaging the zigzag Wigner crystal in confinement-tunable quantum wires
• 0.7 Structure and Zero Bias Anomaly in Ballistic Hole Quantum Wires
• Quantum phase transition in quantum wires controlled by an external gate
• Engineering electron wavefunctions in asymmetrically confined quasi one-dimensional structures
• Two-band electronic metal and neighboring spin liquid (spin Bose-metal) on a zigzag strip with longer-ranged repulsion
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Self assembled Wigner crystals as mediators of spin currents and quantum information
• Formation of defects in multirow Wigner crystals
• Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal
• Magnetism of one-dimensional Wigner lattices and its impact on charge order
• Interacting holes in a gated WSe${}_2$ quantum channel: valley correlations and zigzag Wigner crystal
• Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
• Tunneling of Hybridized Pairs of Electrons through a One-Dimensional Channel
• Effects of Zeeman field on a Spin Bose-Metal phase
• Magnetic Flux Tuning of Spin Chirality in Mott Insulators with Ring Exchanges
• Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction
• On-chip quantum sensing of Kondo spins in a high-mobility quasi-one-dimensional nanoconstriction